Verify each option
option A
![\sqrt[]{15=}3.87298.\text{.}](https://img.qammunity.org/2023/formulas/mathematics/college/89r2vmi7y2ifuqxrf94ujd2inepbd7divp.png)
Is not a repeating decimal form
Option B
11/25=0.44
Is not a repeating decimal form
Option C
3/20=0.15
Is not a repeating decimal form
option D
2/6=0.333333333....
Is a repeating decimal form
therefore
answer option D
we know that
a rational number is a number that can be expressed as the quotient or fraction p/q of two integers
so
If we have
![\begin{gathered} 3\sqrt[]{16\text{ }} \\ =3(4) \\ =12 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/po8uw1te0rvi5cgm4gdilohgdoc0ze4hjy.png)
and 12
12=12/1
12=24/2